Two-neuron networks |
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Authors: | Leonel Gómez Ruben Budelli |
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Affiliation: | (1) Facultad de Ciencias; Departamento de Fisiología and Métodos Cuantitativos, Facultad de Medicina, Sección Biomatematica, Instituto de Biologia, Montevideo, Uruguay;(2) Departamento de Fisiologia, Facultad de Medicina, Gral. Flores, 2125 Montevideo, Uruguay |
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Abstract: | The behavior of two pacemaker neurons simulated by leaky integrators and connected reciprocally by synapses was studied. In every case the firing of both neurons phase-locks. The resulting limit cycle may or may not show simultaneous firing of both neurons. When both synapses are excitatory, phase-locking with simultaneous neuronal firing is always present. When one synapse is excitatory and the other inhibitory, phase-locking is also present always, while the neurons may or may not fire simultaneously. For a restricted set of parameters, bistability appears; the initial conditions determine whether or not the limit cycle presents simultaneous firing. When both synapses are inhibitory, the system phase-locks without simultaneous firing for almost every set of parameters. |
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